Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 2835 and 120.

**Answer**

$2835=({3}^{4})(5)(7)$

$120=({2}^{3})(3)(5)$

The LCM of 2835 and 120 is the product of the largest powers of each prime factor in both.

Thus the LCM of 2835 and 120

$=({2}^{3})({3}^{4})(5)(7)$

$=22680$